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113112113200 = 2452444763589
BaseRepresentation
bin110100101011000000…
…0011110000000110000
3101210221222101201002221
41221112000132000300
53323123200110300
6123544001050424
711113011045532
oct1512600360060
9353858351087
10113112113200
1143a74925899
1219b09026a14
13a8881a65c8
145690651852
152e2043531a
hex1a5601e030

113112113200 has 60 divisors (see below), whose sum is σ = 271817235520. Its totient is φ = 45233959680.

The previous prime is 113112113167. The next prime is 113112113207. The reversal of 113112113200 is 2311211311.

It is a happy number.

It is a super-3 number, since 3×1131121132003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (113112113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747006 + ... + 1810594.

Almost surely, 2113112113200 is an apocalyptic number.

113112113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113112113200 is an abundant number, since it is smaller than the sum of its proper divisors (158705122320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113112113200 is a wasteful number, since it uses less digits than its factorization.

113112113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68054 (or 68043 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113112113200 its reverse (2311211311), we get a palindrome (115423324511).

The spelling of 113112113200 in words is "one hundred thirteen billion, one hundred twelve million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4447 8894 17788 22235 35576 44470 63589 71152 88940 111175 127178 177880 222350 254356 317945 355760 444700 508712 635890 889400 1017424 1271780 1589725 1778800 2543560 3179450 5087120 6358900 12717800 25435600 282780283 565560566 1131121132 1413901415 2262242264 2827802830 4524484528 5655605660 7069507075 11311211320 14139014150 22622422640 28278028300 56556056600 113112113200